14sqrt(int_(0)^( pi/4)log(sin2 theta)d theta)=(pi)/(4)log((1)/(2))

int_(0)^(10)log(1+cot theta)d theta=(pi)/(8)log2

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

STATEMENT 1: int_(0)^((pi)/(4))log(1+tan theta)d theta=(pi)/(8)log2 STATEMENT 2:int_(0)^((pi)/(2))log sin theta d theta=-pi log2

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

If int_(0)^( pi/2)log sin xdx=k, then the value of the definite integral int_(0)^( pi/4)log(1+tan theta)d theta( i) -(K)/(8)( ii) -(K)/(4) (iii) (K)/(8) (iv) (K)/(4)

Evaluate: int_(0)^((pi)/(4))log(1+tantheta)d theta

Show that int_(0)^(pi//4) sqrt(tan theta) d theta = (1)/(sqrt(2)) log(sqrt(2)-1)+(pi)/(2sqrt(2))

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

int_ (0) ^ ((pi) / (4)) log (1 + tan theta) dth eta